Desingularization of Some Moduli Scheme of Stable Sheaves on a Surface
نویسنده
چکیده
Let X be a nonsingular projective surface over an algebraically closed field with characteristic 0, and H − and H+ ample line bundles on X separated by only one wall of type (c1, c2). Suppose the moduli scheme M(H−) of rank-two H − -stable sheaves with Chern classes (c1, c2) is non-singular. We shall construct a desingularization of M(H+) by using M(H−). As an application, we consider whether singularities of M(H+) are terminal or not when X is ruled or elliptic.
منابع مشابه
Desingularization and Singularities of Some Moduli Scheme of Sheaves on a Surface
Let X be a nonsingular projective surface over C, and H− and H+ be ample line bundles onX in adjacent chamber of type (c1, c2). Let 0 < a− < a+ < 1 be adjacent minichambers, which are defined from H− and H+, such that the moduli scheme M(H−) of rank-two a−-stable sheaves with Chern classes (c1, c2) is non-singular. We shall construct a desingularization of M(a+) by using M(a−). As an applicatio...
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